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103323216 = 24319277409
BaseRepresentation
bin1100010100010…
…01011001010000
321012102100210210
412022021121100
5202422320331
614130324120
72363142603
oct612113120
9235370723
10103323216
1153361297
122a729640
13185382c9
14da1833a
15910e446
hex6289650

103323216 has 80 divisors (see below), whose sum is σ = 282670400. Its totient is φ = 32431104.

The previous prime is 103323173. The next prime is 103323221. The reversal of 103323216 is 612323301.

It is a junction number, because it is equal to n+sod(n) for n = 103323192 and 103323201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252420 + ... + 252828.

It is an arithmetic number, because the mean of its divisors is an integer number (3533380).

Almost surely, 2103323216 is an apocalyptic number.

103323216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103323216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141335200).

103323216 is an abundant number, since it is smaller than the sum of its proper divisors (179347184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103323216 is a wasteful number, since it uses less digits than its factorization.

103323216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 103323216 is about 10164.8028018255. The cubic root of 103323216 is about 469.2446233494.

Adding to 103323216 its reverse (612323301), we get a palindrome (715646517).

The spelling of 103323216 in words is "one hundred three million, three hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 277 304 409 456 554 818 831 912 1108 1227 1636 1662 2216 2454 3272 3324 4432 4908 5263 6544 6648 7771 9816 10526 13296 15542 15789 19632 21052 23313 31084 31578 42104 46626 62168 63156 84208 93252 113293 124336 126312 186504 226586 252624 339879 373008 453172 679758 906344 1359516 1812688 2152567 2719032 4305134 5438064 6457701 8610268 12915402 17220536 25830804 34441072 51661608 103323216